6860136729600 has 2376 divisors, whose sum is σ = 32034148509168. Its totient is φ = 1386027417600.

The previous prime is 6860136729583. The next prime is 6860136729617. The reversal of 6860136729600 is 69276310686.

6860136729600 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 1 + 3 + 6 + 7 + 29 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (6860136729583) and next prime (6860136729617).

It is a super-2 number, since 2×6860136729600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4594866454 + ... + 4594867946.

Almost surely, 2^{6860136729600} is an apocalyptic number.

6860136729600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6860136729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017074254584).

6860136729600 is an abundant number, since it is smaller than the sum of its proper divisors (25174011779568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6860136729600 is a wasteful number, since it uses less digits than its factorization.

6860136729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6860136729600 in words is "six trillion, eight hundred sixty billion, one hundred thirty-six million, seven hundred twenty-nine thousand, six hundred".